Answer:
y = - [tex]\frac{4}{3}[/tex] x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line
m = [tex]\frac{-5+1}{3-0}[/tex] = - [tex]\frac{4}{3}[/tex]
Note the line crosses the y- axis at (0, - 1) ⇒ c = - 1
y = - [tex]\frac{4}{3}[/tex] x - 1 ← equation of line
